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Finding the Fourth Proportional to 17,777.76, 24,534.78 and 10,226.58

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Solution

The fourth proportional to 17,777.76, 24,534.78 and 10,226.58 is: 14,113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,777.76 : 24,534.78 = 10,226.58 : x
  2. Step 2: Convert to fraction form
    17,777.76/24,534.78 = 10,226.58/x
  3. Step 3: Cross multiply
    17,777.76x = 24,534.78 × 10,226.58
  4. Step 4: Simplify right side
    17,777.76x = 250,906,890.45
  5. Step 5: Solve for x
    x = 250,906,890.45/17,777.76
  6. Step 6: Final answer
    x = 14,113.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.